Atkin-Lehner |
7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34307j |
Isogeny class |
Conductor |
34307 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
2783127204252941 = 76 · 138 · 29 |
Discriminant |
Eigenvalues |
0 -2 3 7- 6 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1299159,-570383940] |
[a1,a2,a3,a4,a6] |
Generators |
[-660:24:1] |
Generators of the group modulo torsion |
j |
297278942052352/3411821 |
j-invariant |
L |
4.6055008178997 |
L(r)(E,1)/r! |
Ω |
0.1414113438077 |
Real period |
R |
1.8093396870474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34307e2 |
Quadratic twists by: 13 |